Painlevé's problem and analytic capacity.

Tolsa, Xavier. "Painlevé's problem and analytic capacity.." Collectanea Mathematica 57.Extra (2006): 89-125. <http://eudml.org/doc/41789>.

@article{Tolsa2006,
abstract = {In this paper we survey some recent results in connection with the so called Painlevé's problem and the semiadditivity of analytic capacity γ. In particular, we give the detailed proof of the semiadditivity of the capacity γ+, and we show almost completely all the arguments for the proof of the comparability between γ and γ+.},
author = {Tolsa, Xavier},
journal = {Collectanea Mathematica},
keywords = {Funciones de variable compleja; Funciones analíticas; Singularidades; Capacidad; Teoría del potencial; Operadores de Calderón-Zygmund; Medida de Radon; Painlevé’s problem; analytic function; semiadditivity; analytic capacity; curvature; Cauchy transform},
language = {eng},
number = {Extra},
pages = {89-125},
title = {Painlevé's problem and analytic capacity.},
url = {http://eudml.org/doc/41789},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Tolsa, Xavier
TI - Painlevé's problem and analytic capacity.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - Extra
SP - 89
EP - 125
AB - In this paper we survey some recent results in connection with the so called Painlevé's problem and the semiadditivity of analytic capacity γ. In particular, we give the detailed proof of the semiadditivity of the capacity γ+, and we show almost completely all the arguments for the proof of the comparability between γ and γ+.
LA - eng
KW - Funciones de variable compleja; Funciones analíticas; Singularidades; Capacidad; Teoría del potencial; Operadores de Calderón-Zygmund; Medida de Radon; Painlevé’s problem; analytic function; semiadditivity; analytic capacity; curvature; Cauchy transform
UR - http://eudml.org/doc/41789
ER -